Allow me to engage in some hypothetical musing.
Let's say that you are at some gathering and meet two men. Both men have the emotional connection you desire. They are completely (fill this in with all the adjectives you desire) and you think "I have been waiting to meet someone like this for a long time."
One of them looks like (insert name of person you find physically attractive) and the other looks like Jabbaa the Hutt.
I think I know which one you will pick.
And so do you.